Service robotics is becoming an active research area of robotics in the 21^st century. Service robots, such as iRobot, HAL, and CareBot, aim at assisting human in professional and domestic environments. Novel service robots are high-tech products that resulted by synthesizing the most innovative research outcomes of mechanical design, dynamics, sensing, perception, cognition science, and control engineering. The complexity of system integration requires fundamental and advance knowledge of mathematics for system modeling and representation.

This special issue is focused on all aspects of fundamental and advance mathematics including, but not limited to, ordinary and partial differential equations, stochastic processes, differential geometry, and nonlinear analysis that are employed for modeling and development of service robots. Our aim is to collect the latest research results not only reporting concepts, designs, developments, tools and systems in the field of service robots, but also discussing the current states of the art, challenges, and solutions that meet the increasing demands of service robots in modern human societies.

Potential topics include, but are not limited to:

• Cognitive sensing and perception
• Vision based SLAM
• Human-robot interaction/cooperation
• Advanced control of service robots
• Biologically inspired service robots
• Humanoid service robots
• Sensing and actuating for service robots
• Modeling and simulation tools for service robots
• Biomechanics and physical and cognitive HRI
• Kinematics, dynamics, and design optimization of service robots
• Autonomous operation in an environment with uncertain conditions
• Stability and robustness for service robot control