Please use this identifier to cite or link to this item: http://localhost/handle/Hannan/218761
Title: Input-to-State Stability Analysis for Stochastic Delayed Systems With Markovian Switching
Authors: Yanlei Wu;Mingxin Liu;Xiaotai Wu;Wenbing Zhang;Jinde Cao
Year: 2017
Publisher: IEEE
Abstract: This paper is concerned with the input-to-state stability (ISS) and integral input-to-state stability (iISS) of stochastic delayed systems with Markovian switching. By using the multiple Lyapunov-like function and Lyapunov&x2013;Krasovskii function methods, the ISS and iISS are considered for stochastic delayed systems with Markovian switching and external inputs. In addition, when there do not exist external inputs, the <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>th moment exponential stability and stochastically asymptotically stable in large are presented for stochastic delayed systems with Markovian switching. Two examples are presented to demonstrate the effectiveness of the proposed results.
Description: 
URI: http://localhost/handle/Hannan/218761
volume: 5
More Information: 23663,
23671
Appears in Collections:2017

Files in This Item:
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8086151.pdf2.99 MBAdobe PDF
Title: Input-to-State Stability Analysis for Stochastic Delayed Systems With Markovian Switching
Authors: Yanlei Wu;Mingxin Liu;Xiaotai Wu;Wenbing Zhang;Jinde Cao
Year: 2017
Publisher: IEEE
Abstract: This paper is concerned with the input-to-state stability (ISS) and integral input-to-state stability (iISS) of stochastic delayed systems with Markovian switching. By using the multiple Lyapunov-like function and Lyapunov&x2013;Krasovskii function methods, the ISS and iISS are considered for stochastic delayed systems with Markovian switching and external inputs. In addition, when there do not exist external inputs, the <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>th moment exponential stability and stochastically asymptotically stable in large are presented for stochastic delayed systems with Markovian switching. Two examples are presented to demonstrate the effectiveness of the proposed results.
Description: 
URI: http://localhost/handle/Hannan/218761
volume: 5
More Information: 23663,
23671
Appears in Collections:2017

Files in This Item:
File SizeFormat 
8086151.pdf2.99 MBAdobe PDF
Title: Input-to-State Stability Analysis for Stochastic Delayed Systems With Markovian Switching
Authors: Yanlei Wu;Mingxin Liu;Xiaotai Wu;Wenbing Zhang;Jinde Cao
Year: 2017
Publisher: IEEE
Abstract: This paper is concerned with the input-to-state stability (ISS) and integral input-to-state stability (iISS) of stochastic delayed systems with Markovian switching. By using the multiple Lyapunov-like function and Lyapunov&x2013;Krasovskii function methods, the ISS and iISS are considered for stochastic delayed systems with Markovian switching and external inputs. In addition, when there do not exist external inputs, the <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>th moment exponential stability and stochastically asymptotically stable in large are presented for stochastic delayed systems with Markovian switching. Two examples are presented to demonstrate the effectiveness of the proposed results.
Description: 
URI: http://localhost/handle/Hannan/218761
volume: 5
More Information: 23663,
23671
Appears in Collections:2017

Files in This Item:
File SizeFormat 
8086151.pdf2.99 MBAdobe PDF