Download Applied Impulsive Mathematical Models by Ivanka Stamova, Gani Stamov PDF

By Ivanka Stamova, Gani Stamov

Using the speculation of impulsive differential equations, this booklet makes a speciality of mathematical types which mirror present learn in biology, inhabitants dynamics, neural networks and economics. The authors give you the simple heritage from the basic thought and provides a scientific exposition of contemporary effects on the topic of the qualitative research of impulsive mathematical types. inclusive of six chapters, the booklet provides many appropriate thoughts, making them on hand in one resource simply obtainable to researchers drawn to mathematical types and their functions. Serving as a worthwhile reference, this article is addressed to a large viewers of execs, together with mathematicians, utilized researchers and practitioners.

Show description

Read Online or Download Applied Impulsive Mathematical Models PDF

Best system theory books

Control of Turbulent and Magnetohydrodynamic Channel Flows: Boundary Stabilization and State Estimation

This monograph offers new optimistic layout tools for boundary stabilization and boundary estimation for numerous periods of benchmark difficulties in circulation regulate, with strength purposes to turbulence keep an eye on, climate forecasting, and plasma keep an eye on. the foundation of the strategy utilized in the paintings is the lately constructed non-stop backstepping approach for parabolic partial differential equations, increasing the applicability of boundary controllers for move platforms from low Reynolds numbers to excessive Reynolds quantity stipulations.

Stability Analysis and Robust Control of Time-Delay Systems

"Stability research and strong keep an eye on of Time-Delay platforms" makes a speciality of crucial features of this box, together with the steadiness research, stabilization, keep watch over layout, and filtering of varied time-delay structures. based at the most up-to-date study, this monograph provides the entire above components utilizing a free-weighting matrix strategy first constructed by means of the authors.

Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems

Sensor networks have lately come into prominence simply because they carry the aptitude to revolutionize a large spectrum of either civilian and army purposes. An creative attribute of sensor networks is the dispensed nature of knowledge acquisition. for that reason they appear to be preferably ready for the duty of tracking approaches with spatio-temporal dynamics which represent certainly one of such a lot normal and demanding periods of structures in modelling of the real-world phenomena.

Power System Dynamics and Control

This monograph explores a constant modeling and analytic framework that gives the instruments for a more robust realizing of the habit and the construction of effective versions of energy platforms. It covers the basic strategies for the examine of static and dynamic community balance, studies the constitution and layout of easy voltage and load-frequency regulators, and provides an creation to strength method optimum regulate with reliability constraints.

Extra info for Applied Impulsive Mathematical Models

Sample text

18) where f W R PCŒŒ r; 0; Rn  ! Rn , Ik W Rn ! Rn ; k D ˙1; ˙2; : : :, tk < tkC1 < : : : and lim tk D ˙1. ˙1 Let '0 2 PCŒŒ r; 0; Rn . tI t0 ; '0 / is defined. 14. tI t0 ; '0 /jj < BI (d) uniformly ultimately bounded if (b) and (c) hold together. 18). 15. 4 Piecewise Continuous Lyapunov Functions and Lyapunov Functionals An interesting and fruitful technique that has gained increasing significance and has given decisive impetus to the modern development of the stability theory of impulsive functional differential equations is Lyapunov’s second method [214].

These notions are used throughout the book. 1 Almost Periodic Sequences In this part, we shall follow [256] and [284], and consider the main definitions and properties of almost periodic sequences. We shall consider the sequence fxk g; xk 2 Rn ; k D ˙1; ˙2; : : :, and let " > 0. 3. 11) 20 2 Basic Theory It is easy to see that if p and q are "-almost periods of fxk g, then p C q; p 2"-almost periods of the sequence fxk g. 4. e. 11) holds. ˚ « Let B˛ D x 2 Rn W jjxjj < ˛ ; ˛ > 0. 7 ([284]). Let the following conditions hold.

Let the following conditions hold. 1. 6 hold. 2. 19 are met. 38 2 Basic Theory 3. 0// for r Ä s Ä 0. 3. 0// for r Ä s Ä 0. 3. Analogous comparison results can be proved for impulsive systems [35, 179] in which minimal solutions are used. 4. Similar results can be proved in terms of functions from the classes V2 and W0 [284, 289, 290]. Next we shall consider a Bihari and Gronwall type integral inequality in a special case with impulses. 22 ([35]). Let the following conditions hold: 1. 1 is met. 2.

Download PDF sample

Rated 4.99 of 5 – based on 7 votes